Highest Common Factor of 4495, 9103, 82120 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 4495, 9103, 82120 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4495, 9103, 82120 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 4495, 9103, 82120 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 4495, 9103, 82120 is 1.

HCF(4495, 9103, 82120) = 1

HCF of 4495, 9103, 82120 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 4495, 9103, 82120 is 1.

Highest Common Factor of 4495,9103,82120 using Euclid's algorithm

Highest Common Factor of 4495,9103,82120 is 1

Step 1: Since 9103 > 4495, we apply the division lemma to 9103 and 4495, to get

9103 = 4495 x 2 + 113

Step 2: Since the reminder 4495 ≠ 0, we apply division lemma to 113 and 4495, to get

4495 = 113 x 39 + 88

Step 3: We consider the new divisor 113 and the new remainder 88, and apply the division lemma to get

113 = 88 x 1 + 25

We consider the new divisor 88 and the new remainder 25,and apply the division lemma to get

88 = 25 x 3 + 13

We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get

25 = 13 x 1 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4495 and 9103 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(88,25) = HCF(113,88) = HCF(4495,113) = HCF(9103,4495) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 82120 > 1, we apply the division lemma to 82120 and 1, to get

82120 = 1 x 82120 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 82120 is 1

Notice that 1 = HCF(82120,1) .

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Frequently Asked Questions on HCF of 4495, 9103, 82120 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 4495, 9103, 82120?

Answer: HCF of 4495, 9103, 82120 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4495, 9103, 82120 using Euclid's Algorithm?

Answer: For arbitrary numbers 4495, 9103, 82120 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.